Single-Cell

Cell motility simulation with a reaction-diffusion model for actin waves on the cell perimeter Introduction A partial differential equation model for ‘actin waves’ by Holmes et al., 2012 was simplified and investigated by PDE bifurcation analysis in Hughes et al.

An agent-based model where each cell’s position and velocity is tracked Introduction We expand our exploration of local and non-local models to the class of agent-based models. Description Instead of tracking continuous distributions of cell density, neural activity, or other properties that vary continuously across space, we adopt a different kind of modeling approach by tracking the trajectories and behavior of individual cells.

Time sequence showing the changing shape of a CPM cell Introduction Not all cell shapes are circular. In this example, a single cell undergoes a whole series of deformations resulting in the development of irregular cell shapes.

Unbiased and biased random walkers Introduction We can simulate the swimming motion of a cell, such as a bacterium, by interspersing short periods of directed motion with random turns or random scrambling of the cell’s velocity.

Two-parameter plane showing all possible regimes of behavior for a single CPM cell Introduction The idea is based on figure 3 in the referenced paper. Description But here, we use two dimensionless parameters: